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A machine is set to pump cleanser into a process at a rate of 6 gallons per minute. Upon inspection, it is learned that the

A machine is set to pump cleanser into a process at a rate of 6 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval of 5.5 to 8.5 gallons per minute. Find the probability that between 6 and 7 gallons are pumped during a randomly selected minute.


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